and is based on the \(\kappa \) -exponential and the related \(\kappa \) -algebra introduced in [1]} (see also [2]}), by replacing both the exponential kernel and the integrate operator with their \(\kappa \) -deformed versions. Here and in the following, for the sake of notation, \(\exp _\kappa (x)^a\)  means (\(\exp _\kappa (x))^a\) .
